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Species Colonization Integral Model
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Which of the following conclusions is best supported by the evidence that the cumulative number of species colonizing a recovering ecosystem is modeled by $$C(t)=\int_{0}^{t}10*e^{-0.5*x}\,dx$$, implying that as time approaches infinity the total number of colonizing species is finite?

A

The model predicts an oscillating number of species that neither converges nor diverges over time.

B

The ecosystem is expected to gain approximately $$20$$ species in total as $$t \to \infty$$.

C

The colonization rate drops to zero immediately, resulting in virtually no increase in species diversity.

D

The ecosystem will continue to indefinitely increase its number of species without approaching any limit.

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